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Finding the Fourth Proportional to 1,112.44, 1,668.59 and 382.03

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Solution

The fourth proportional to 1,112.44, 1,668.59 and 382.03 is: 573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.44 : 1,668.59 = 382.03 : x
  2. Step 2: Convert to fraction form
    1,112.44/1,668.59 = 382.03/x
  3. Step 3: Cross multiply
    1,112.44x = 1,668.59 × 382.03
  4. Step 4: Simplify right side
    1,112.44x = 637,452.39
  5. Step 5: Solve for x
    x = 637,452.39/1,112.44
  6. Step 6: Final answer
    x = 573.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.